Tuesday, February 14, 2023 - 14:15 in V5-148 + Zoom
On the influence of a (singular) topography on the dynamics of the degenerate lake equations
A talk in the BI.discrete series by
Lars Eric Hientzsch from Bielefeld
| Abstract: |
The lake equations describe the evolution of the vertically averaged velocity field of an incompressible inviscid fluid in a lake with prescribed but spatially varying topography. We investigate the singular limit for a vanishing or emerging island. An asymptotic lake-type equation for both scenarios is derived. In the first case, the asymptotic dynamics displays an additional Dirac mass in the vorticity. To that end, we provide new uniform estimates in weighted spaces for the related stream functions solving degenerate elliptic problems.
Time permitting, we comment on the asymptotic dynamics of point vortices for the lake equations.
Based on joint works with C. Lacave and E. Miot (Université Grenoble Alpes).
Within the CRC this talk is associated to the project(s): A7 |
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